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Finding the Fourth Proportional to 281.66, 421.69 and 279.61

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Solution

The fourth proportional to 281.66, 421.69 and 279.61 is: 418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.66 : 421.69 = 279.61 : x
  2. Step 2: Convert to fraction form
    281.66/421.69 = 279.61/x
  3. Step 3: Cross multiply
    281.66x = 421.69 × 279.61
  4. Step 4: Simplify right side
    281.66x = 117,908.74
  5. Step 5: Solve for x
    x = 117,908.74/281.66
  6. Step 6: Final answer
    x = 418.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.